Required information The following table lists values for three variables measured for 60 consecutive eruptions of the geyser Old Faithful in Yellowstone National Park. They are the duration of the eruption (x), the duration of the dormant period immediately before the eruption (x2), and the duration of the dormant period immediately after the eruption (y). All the times are in minutes. Click here to download this data set. x1 x2 у x1 x2 y x1 x2 y x1 *2 у 3.5 80 84 1.8 42 91 4.7 88 51 4.1 70 79 4.1 84 50 4.1 91 51 1.8 51 80 3.7 79 60 2.3 50 93 1.8 51 79 4.6 80 49 3.8 60 86 4.7 93 55 3.2 79 53 1.9 49 82 3.4 86 71 1.7 55 76 1.9 53 82 3.5 82 75 4 71 67 4.9 76 58 4.6 82 51 4 75 73 23 67 81 1.7 58 74 2 51 76 3.7 73 67 4.4 81 76 4.6 74 75 4.5 76 82 3.7 67 68 4.1 76 83 3.4 75 80 3.9 82 84 4.3 68 86 4.3 83 76 4.3 80 56 4.3 84 53 3.6 86 72 3.3 76 55 1.7 56 80 23 53 86 3.8 72 75 2 55 73 3.9 80 69 3.8 86 51 3.8 75 75 4.3 73 56 3.7 69 57 1.9 51 85 3.8 75 66 2.9 56 83 3.1 57 90 4.6 85 45 2.5 66 84 4.6 83 57 4 90 42 1.8 45 88 4.5 84 70 1.9 57 71 Compute the least-squares line for predicting the duration of the dormant period following an eruption (y) from the duration of the eruption (xy). Is there a linear relationship between the duration of an eruption and the waiting time until the next eruption occurs? Check all that are true. Check All That Apply The fitted model is y-95.9115-7.3597x+ The fitted model is y-95.9120 +8.24x Yes, there is a linear relationship. No, there is no linear relationship.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 31E
Question
None
Required information
The following table lists values for three variables measured for 60 consecutive eruptions of the geyser Old Faithful in
Yellowstone National Park. They are the duration of the eruption (x), the duration of the dormant period immediately
before the eruption (x2), and the duration of the dormant period immediately after the eruption (y). All the times are in
minutes. Click here to download this data set.
x1
x2
y
x1
x2
y
x1
x2
y
x1
x2
y
3.5
80
84
1.8
42
91
4.7
88
51
4.1
70
79
4.1
84
50
4.1
91
51
1.8
51
80
3.7
79
60
2.3
50
1.8
51
79
4.6
80
49
3.8
60
86
4.7
3.2
79
53
1.9
49
82
3.4
86
1.7
55
76
1.9
53
82
3.5
75
4
71
67
4.9
58
4.6
82
51
4
75
73
2.3
67
81
1.7
58
74
2
51
76
3.7
73
67
4.4
81
76
4.6
4.5
76
82
3.7
67
68
4.1
76
83
3.4
75
80
3.9
82
84
4.3
68
86
4.3
83
76
4.3
56
4.3
84
53
3.6
86
72
3.3
76
55
1.7
56
80
2.3
53
86
3.8
72
75
55
73
3.9
80
69
3.8
86
51
3.8
75
75
4.3
73
56
3.7
69
57
1.9
51
85
3.8
75
66
2.9
56
83
3.1
57
90
4.6
85
45
2.5
84
4.6
83
57
4
90
1.8
45
88
4.5
84
70
1.9
57
71
Compute the least-squares line for predicting the duration of the dormant period following an eruption (y) from the duration of the eruption (x). Is there a linear relationship between the duration of an eruption and the waiting time until the next eruption occurs? Check all that are true.
Check All That Apply
The fitted model is y=95.9115-7.3597x
☐
The fitted model is y-95.9120+8.24x
Yes, there is a linear relationship.
No, there is no linear relationship.
Transcribed Image Text:Required information The following table lists values for three variables measured for 60 consecutive eruptions of the geyser Old Faithful in Yellowstone National Park. They are the duration of the eruption (x), the duration of the dormant period immediately before the eruption (x2), and the duration of the dormant period immediately after the eruption (y). All the times are in minutes. Click here to download this data set. x1 x2 y x1 x2 y x1 x2 y x1 x2 y 3.5 80 84 1.8 42 91 4.7 88 51 4.1 70 79 4.1 84 50 4.1 91 51 1.8 51 80 3.7 79 60 2.3 50 1.8 51 79 4.6 80 49 3.8 60 86 4.7 3.2 79 53 1.9 49 82 3.4 86 1.7 55 76 1.9 53 82 3.5 75 4 71 67 4.9 58 4.6 82 51 4 75 73 2.3 67 81 1.7 58 74 2 51 76 3.7 73 67 4.4 81 76 4.6 4.5 76 82 3.7 67 68 4.1 76 83 3.4 75 80 3.9 82 84 4.3 68 86 4.3 83 76 4.3 56 4.3 84 53 3.6 86 72 3.3 76 55 1.7 56 80 2.3 53 86 3.8 72 75 55 73 3.9 80 69 3.8 86 51 3.8 75 75 4.3 73 56 3.7 69 57 1.9 51 85 3.8 75 66 2.9 56 83 3.1 57 90 4.6 85 45 2.5 84 4.6 83 57 4 90 1.8 45 88 4.5 84 70 1.9 57 71 Compute the least-squares line for predicting the duration of the dormant period following an eruption (y) from the duration of the eruption (x). Is there a linear relationship between the duration of an eruption and the waiting time until the next eruption occurs? Check all that are true. Check All That Apply The fitted model is y=95.9115-7.3597x ☐ The fitted model is y-95.9120+8.24x Yes, there is a linear relationship. No, there is no linear relationship.
Expert Solution
steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt